Finding the Third Proportional to 365,468 and 562,470

Step by Step Solution

1. Step 1: Write the proportion equation
   365,468 : 562,470 = 562,470 : x
2. Step 2: Convert to fraction form
   365,468/562,470 = 562,470/x
3. Step 3: Cross multiply
   365,468x = 562,470 × 562,470
4. Step 4: Simplify right side
   365,468x = 316,372,500,900
5. Step 5: Solve for x
   x = 316,372,500,900/365,468
6. Step 6: Final answer
   x = 865,664.03